Criteria for the non-ergodicity of stochastic processes: application to the exponential back-off protocol

DOI10.2307/3214259zbMath0625.60076OpenAlexW2318860662MaRDI QIDQ3028026

Guy Fayolle, Roudolf Iasnogorodski

Publication date: 1987

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3214259

zbMATH Keywords

ergodicitysubmartingaleexponential back-off protocolFoster's criteria for classifying Markov chains

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Applications of queueing theory (congestion, allocation, storage, traffic, etc.) (60K30)

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Mathematical theory of queueing networks ⋮ A Simple Proof of Instability of a Random-Access Communication Channel

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